Simplify the expression. Write your answer as a power.

The function f(x) = (1/5) Superscript x is translated up 4 units. Which equation represents the translated function?

jeka94

Answer:

g(x) = $(\frac{1}{5}) ^{x}$ + 4

Step-by-step explanation:

Given f(x) then f(x) + c represents a vertical translation of f(x)

• If c > 0 then a shift up of c units

• If c < 0 then a shift down of c units

Here f(x) is shifted up 4 units, thus translated function is

g(x) = f(x) + 4 = $(\frac{1}{5}) ^{x}$ + 4

6 0

3 years ago

Right angles measures exactly 90 true or false ?

Tanya [424]

The answer is true. The measure of a right angle will always be 90°

7 0

3 years ago

Read 2 more answers

A sample of 200 college freshmen was asked how many hours per week they spent playing video games. The following frequency distr

JulsSmile [24]

Answer:

$\% Below\ 50 = 88 \%$

$\% 43\ or\ more = 17 \%$

Step-by-step explanation:

Given

$Total = 200$

<em>The attachment presents the table properly</em>

Solving (a): Percentage of those who play for less than 50 hours weekly

To do this, we simply consider the frequency of students that fall within:

1.0 - 7.9, 8.0 - 14.9,......,43.0 - 49.9

Their frequency is:

$Frequency = 21 + 37 + 40 + 27 + 23 + 18 + 10$

$Frequency = 176$

The percentage is then calculated as:

$\% Below\ 50 = \frac{Frequency}{Total} * 100\%$

$\% Below\ 50 = \frac{176}{200} * 100\%$

$\% Below\ 50 = \frac{176* 100}{200} \%$

$\% Below\ 50 = \frac{176* 1}{2} \%$

$\% Below\ 50 = \frac{176}{2} \%$

$\% Below\ 50 = 88 \%$

Solving (b): Percentage of those who play for 43 or more hours weekly

To do this, we simply consider the frequency of students that fall within:

43.0 - 49.9,......,64.0 - 70.9

Their frequency is:

$Frequency = 10 + 7 + 5+12$

$Frequency = 34$

The percentage is then calculated as:

$\% 43\ or\ more = \frac{Frequency}{Total} * 100\%$

$\% 43\ or\ more = \frac{34}{200} * 100\%$

$\% 43\ or\ more = \frac{34* 100}{200} \%$

$\% 43\ or\ more = \frac{34* 1}{2} \%$

$\% 43\ or\ more = \frac{34}{2} \%$

$\% 43\ or\ more = 17 \%$

7 0

3 years ago

Name the angles adjacent to

marysya [2.9K]

Answer:

<UOX and <YOZ

Step-by-step explanation:

Adjacent angles are angles that share a common side and vertex. So, find the angles that share one side. In this case, the two sides of the angle <XOY are OX and YO. Remember when naming an angle that it should be one side, the vertex, the last side. So, the 2 adjacent angles are <UOX and <YOZ because they each share one common side and vertex.

6 0

3 years ago

The variance of a stock's returns can be calculated as the:

Tamiku [17]

Answer:

The correct option is b.

Step-by-step explanation:

The formula for standard deviation is

$\sigma^2=\frac{\sum {(x-\overline{x})^2}}{n}$

where, $\overline{x}$ is mean of the data and n is number of observation.

The variance of a stock's returns can be calculated by the above formula.

Variance of stock's returns is the average value of squared deviations from the mean.

Therefore the correct option is b.

4 0

4 years ago